 If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided...  Elements of Plane Geometry According to Euclid - Page 44by Andrew Bell - 1837 - 240 pagesFull view - About this book
 | Euclides - 1848 - 52 pages
...line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...equal (i. 5.) to the angle ABD, because BA is equal to AD, being aides of a square; wherefore the angle Let the straight line AB be divided into any two parts in c; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts. Let the straight line AB be divided into any two parts in C; the square on AB is equivalent to the squares on AC, CB, together with twice the rectangle contained... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...line be divided into any two parte, the squares of the whole 1 ine and one of the parts, are equal to twice the rectangle contained by the whole and that part, together witli the square of the other part. 3. To describe a square that shall be equal to a given rectilineal... | |
 | 1851 - 268 pages
...line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. SECTION II. 1. If in a circle two straight lines cut one another, which do not both pass through the... | |
 | Education - 1852 - 512 pages
...line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. SECTION II. — 1. If in a circle two straight lines cut one another, which do not pass through the... | |
 | Euclides - 1852 - 152 pages
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts, Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
 | Euclides - Geometry - 1853 - 334 pages
...whole line and of one of the parts shall be, equal to twice the rectangle contained by the whole line and that part, together with the square of the other...the straight line AB be divided into any two parts AC, CB in c. Then the squares of AB, BC shall be equal to twice the rectangle contained by AB, BC together... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 522 pages
...line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both pass through the... | |
 | Euclides - Geometry - 1853 - 176 pages
...is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the straight line ab be divided into any two parts in С ', the square of ab is equal to the squares of a С, С b, and to twice the rectangle contained... | |
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